Question

Cot 23° + cot 22° - 1 / cot 22° + cot 23° = 1

Answer 1

Answer:

your answer is below

Step-by-step explanation:

cot(22° + 23°) = cot45°

=> (cot22° cot23° - 1) / (cot22° + cot23°) = 1

=> cot22° cot23° - 1 = cot22° + cot23°

=> cot22° cot23° - cot22° - cot23° + 1 = 2

=> cot22° (cot23° - 1) - (cot23° - 1) = 2

=> (cot22° - 1) (cot23° - 1) = 2

=> cot23° - 1 = 2/(cot22° - 1)

=> 1 - cot23° = 2/(1 - cot22°).

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